Enábled:In an M/MA queueing system, the arrival rate is 9 customers per hour and the service rate is 14 customers per hour. (Round youranswers to 3 decimal places.)a. What is the probability that the server will be idle?Probabilityb. What is the probability of having exactly 5 customers in the system?Probabilityc. What is the probability of having 2 or fewer customers in the system?

Answered: Image /qna-images/answer/83cc7ab1-ac0a-423d-ac3b-04f3396bc2cf.jpg

Answered: In an M/MA queueing system, the arrival…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Pls Help ASAP. One image has part a and the other part b. Pls do it quicly.
Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
The probability of A is 0.55. The probability of B is 0.65. The probability that neither A nor B happens is 0.2. What is the probability that both A and B happen? O 0.45 0.3 .6 .5 1 0.1 0.4 0.2
a. In CSE230, there were 2 assignments this semester. The probability that you would get above average marks in the first and the second assignments are 0.7 and 0.6 respectively. But if someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments?
If the probability is 0.37 that a candidate loses the election, what is the probability that he wins? ..... The probability the candidate wins the election is. (Simplify your answer. Type an integer or a decimal.)
An organization for people with high IQ, and eligibility requires an IQ above 131.5. Suppose the IQ scores are normally distributed with a mean of 102.5 and standard deviation of 16.1. If someone wants to join the organization, what is the probability that he or she meets the organization’s requirement?
The probability of working on Saturday is 0.52. The probability of working on Sunday is 0.61. The probability of not working on either day is 0.12. What is the probability that you work both days?
b. A fisherman catches, on average three fish in an hour. I. Find the probability that a fisherman catches less than three fishes in 45 minutes. II. Find the probability that a fisherman catches at least eight fishes in two hours. III. Find the probability that a fisherman catches greater than ten fishes in 110 minutes. IV. Find the probability that time between catching two fishes is at most 35 minutes
A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?
You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.

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